If a family with small children lives in an apartment, with neighbours above, below and beside them, should there be any limits on how much noise they can make and when?
Absolutely. Quiet times are in effect for everyone, not just those of the age of majority...
Should they be allowed to make more noise than other tenants because they have children?
No. In fact, not just no, but H*!! no. Having children does *not* entitle you to special treatment.
Or if there should be limits, what should they be?
Time limits, as I said above (not before 8AM on weekdays, or 10PM on weekends, not after 8-9PM). No screaming/ shouting inside. No top-volume TV. No banging on the floor/ walls.
Now, I try to be understanding if it's a baby, heaven knows I was the recipient of that understanding often enough. And I understand that kids aren't always going to *remember* the rules (they *know* them, they just get carried away). In that case, I'll ask the family to keep the noise down, but try not to get irritated by the noise.